110100110111211 has 48 divisors (see below), whose sum is σ = 162809488041984. Its totient is φ = 65629099800000.

The previous prime is 110100110111149. The next prime is 110100110111249. The reversal of 110100110111211 is 112111011001011.

It is not a de Polignac number, because 110100110111211 - 2¹⁹ = 110100109586923 is a prime.

It is a super-5 number, since 5×110100110111211⁵ (a number of 71 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (110100110111111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75271350 + ... + 76720116.

It is an arithmetic number, because the mean of its divisors is an integer number (3391864334208).

Almost surely, 2^{110100110111211} is an apocalyptic number.

110100110111211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110100110111211 is a deficient number, since it is larger than the sum of its proper divisors (52709377930773).

110100110111211 is a wasteful number, since it uses less digits than its factorization.

110100110111211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449184 (or 1449033 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 110100110111211 its reverse (112111011001011), we get a palindrome (222211121112222).

The spelling of 110100110111211 in words is "one hundred ten trillion, one hundred billion, one hundred ten million, one hundred eleven thousand, two hundred eleven".